Free of mean values

The absence of mean values is a requirement that is often used in signal analysis for the autocorrelation function .

It is defined by: Let X be a set of N values, then X is called free of mean values ​​if the arithmetic mean of these values ​​is zero, ie

${\displaystyle m_{X}={\frac {1}{N}}\sum _{i=1}^{N}x_{i}=0}$.

Clearly speaking, a signal is free of mean values ​​if the signal values ​​that occur are evenly scattered around zero.

A random variable X is zero-mean, if it's an expectation of zero: . ${\displaystyle \mathbb {E} [X]=0}$

See also: mean